Journal of University of Science and Technology of China ›› 2015, Vol. 45 ›› Issue (11): 899-905.DOI: 10.3969/j.issn.0253-2778.2015.11.003
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YUE Chaohui
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Abstract: A class of impulsive stochastic differential equations of Sobolev-type was studied. The existence and uniqueness of the mild solution with the coefficients satisfying some generalized Lipschitz conditions was proved by means of the successive approximation. Moreover, the continuous dependence of the solutions on the initial values was given.
Key words: stochastic differential equation, Sobolev-type, impulsive effect
YUE Chaohui, WANG Hongxi. Impulsive stochastic differential equations of Sobolev-type[J]. Journal of University of Science and Technology of China, 2015, 45(11): 899-905.
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URL: http://just-cn.ustc.edu.cn/EN/10.3969/j.issn.0253-2778.2015.11.003
http://just-cn.ustc.edu.cn/EN/Y2015/V45/I11/899
